*Article* **On the MHD Casson Axisymmetric Marangoni Forced Convective Flow of Nanofluids**

### **Anum Shafiq 1, Islam Zari 2, Ghulam Rasool 3, Iskander Tlili 4,5,\* and Tahir Saeed Khan 2**


Received: 26 September 2019; Accepted: 8 November 2019; Published: 11 November 2019

**Abstract:** The proposed investigation concerns the impact of inclined magnetohydrodynamics (MHD) in a Casson axisymmetric Marangoni forced convective flow of nanofluids. Axisymmetric Marangoni convective flow has been driven by concentration and temperature gradients due to an infinite disk. Brownian motion appears due to concentration of the nanosize metallic particles in a typical base fluid. Thermophoretic attribute and heat source are considered. The analysis of flow pattern is perceived in the presence of certain distinct fluid parameters. Using appropriate transformations, the system of Partial Differential Equations (PDEs) is reduced into non-linear Ordinary Differential Equations (ODEs). Numerical solution of this problem is achieved invoking Runge–Kutta fourth-order algorithm. To observe the effect of inclined MHD in axisymmetric Marangoni convective flow, some suitable boundary conditions are incorporated. To figure out the impact of heat/mass phenomena on flow behavior, different physical and flow parameters are addressed for velocity, concentration and temperature profiles with the aid of tables and graphs. The results indicate that Casson fluid parameter and angle of inclination of MHD are reducing factors for fluid movement; however, stronger Marangoni effect is sufficient to improve the velocity profile.

**Keywords:** Casson nanoliquid; Marangoni convection; inclined MHD; Joule heating; heat source
